Results 41 to 50 of about 159,428 (155)
A simple characterization of the existence of upper semicontinuous order-preserving functions
Economic Theory Bulletin, 2023 AbstractWe introduce an upper semicontinuity condition concerning a not necessarily total preorder on a topological space, namely strong upper semicontinuity, and in this way we extend to the nontotal case the famous Rader’s theorem, which guarantees the existence of an upper semicontinuous order-preserving function for an upper semicontinuous total ...
Gianni Bosi, Laura Franzoi
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Update on the Protective Molecular Pathways Improving Pancreatic Beta-Cell Dysfunction
Mediators of Inflammation, 2013 The primary function of pancreatic beta-cells is to produce and release insulin in response to increment in extracellular glucose concentrations, thus maintaining glucose homeostasis. Deficient beta-cell function can have profound metabolic consequences,
Alessandra Puddu +5 more
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Journal of Applied Mathematics, 2014 By using the polynomial expansion in the even order Bernoulli polynomials and using the linear combinations of the shifts of the function f(x)(x∈ℝ) to approximate the derivatives of f(x), we propose a family of modified even order Bernoulli-type ...
Ruifeng Wu, Huilai Li, Tieru Wu
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Properties of Topologies for the Continuous Representability of All Weakly Continuous Preorders
Mathematics, 2023 We investigate properties of strongly useful topologies, i.e., topologies with respect to which every weakly continuous preorder admits a continuous order-preserving function.
Gianni Bosi +2 more
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CLM:differential privacy protection method for trajectory publishing
Tongxin xuebao, 2017 In order to solve the problem existing in differential privacy preserving publishing methods that the independent noise was easy to be filtered out,a differential privacy publishing method for trajectory data (CLM),was proposed.A correlated Laplace ...
Hao WANG +3 more
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International Journal of Mathematics and Mathematical SciencesThe Y-function has emerged as a significant tool in generalized fractional calculus due to its ability to unify and extend numerous classical special functions and hypergeometric-type functions.
Engdasew Birhane, D. L. Suthar
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On the structure of completely useful topologies
Applied General Topology, 2002 Let X be an arbitrary set. Then a topology t on X is completely useful if every upper semicontinuous linear preorder on X can be represented by an upper semicontinuous order preserving real-valued function.
Gianni Bosi, Gerhard Herden
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An Objective Function for Order Preserving Hierarchical Clustering
Machine LearningAbstract We present a theory and an objective function for similarity-based hierarchical clustering of probabilistic partial orders and directed acyclic graphs (DAGs). Specifically, given elements $$x \le y$$ in the partial order ...
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Existence of an order-preserving function on normally preordered spaces [PDF]
Bulletin of the Australian Mathematical Society, 1986 The object of this paper is to generalize the classic theorems of Eilenberg and Debreu on the existence of continuous order-preserving transformations on ordered topological spaces and to prove them in a different way. The proof of the theorems is based on Nachbin's generalization to ordered topological spaces of Urysohn's separation theorem in normal ...
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Note on the shape-preservation of a new class of Kantorovich-type operators via divided differences
Demonstratio MathematicaShape-preserving approximation is a significant approximation method that has many application areas, such as computer-based geometric design, image processing, geodesy, chemistry, and robotics.
Turhan Nezihe
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